Applied Reachability Analysis for Spacecraft Rendezvous and Docking with a Tumbling Object
Abstract
The objective of this research is to investigate the dynamics, and reachability characteristics
of a spacecraft (commonly referred to as the deputy) conducting proximity maneuvers
about a resident space object (commonly referred to as the chief) in a tumbling state of motion.
Specifically, the goal is to identify initial conditions from which a specified maneuver is feasible,
within a specified amount of time. This research question can be answered by solving a reachability
problem, and computing a backwards reachable set. However, the complexity of the
relative roto-translational dynamics of this scenario poses challenges for existing reachability
tools. This paper presents the 6-DOF roto-translational relative spacecraft dynamics, from
the perspective of the tumbling chief. A method based on minimum time optimal control
is proposed for computation and visualization of backwards reachable sets for both relative
translation and rotation, in the particular case of a chief in circular orbit spinning about a
principal axis coinciding with the orbit normal. The proposed method makes the problem
more tractable and provides insight into the reachability characteristics of this scenario.
Description
The article of record as published may be found at http://dx.doi.org/10.2514/6.2018-2220
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.Collections
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